An object with a mass of #8 kg# is hanging from an axle with a radius of #25 cm#. If the wheel attached to the axle has a radius of #35 cm#, how much work would it take to turn the wheel a length equal to the circumference of the axle?

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Answer 1 · 2017-05-07T14:10:44

The work is #=88J#

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The load L=(8g)N#

Radius of axle #r=0.25m#

Radius of wheel #R=0.35m#

Taking moments about the center of the axle

#F*R=L*r#

#F*0.35=8*g*0.25#

#F=(8*g*0.25)/0.35=56N#

The distance is

#d=2*pi*0.25=1.57m#

The work done is

#W=Fd=56*1.57=88J#